A child weighs 160 N on the surface of the earth. Calculate the weight of the child at
height of 3.6*106 m from the surface of the earth, where radius of the earth is 6400
km.
Answers
Answer:
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Explanation:
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![](https://hi-static.z-dn.net/files/d29/ea42203732d2d9ffacff2cfbffefada3.jpg)
Explanation:
g = Acceleration due to Gravity = 9.8 m/sec^2
g = Acceleration due to Gravity = 9.8 m/sec^2g'= Acceleration due to Gravity at height (h)=?
g = Acceleration due to Gravity = 9.8 m/sec^2g'= Acceleration due to Gravity at height (h)=?h = height = 3.6 × 10^6m = 3.36 × 10^3 km
g = Acceleration due to Gravity = 9.8 m/sec^2g'= Acceleration due to Gravity at height (h)=?h = height = 3.6 × 10^6m = 3.36 × 10^3 kmR = Radius of earth = 6400km =6.4 × 10^3 km
w= weight of child on earth surface =160 N
w'= weight of child at above earth surface = ?
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×g
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×gw/w' = mg/mg' = g/g'
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×gw/w' = mg/mg' = g/g'(w×g')÷g = w'
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×gw/w' = mg/mg' = g/g'(w×g')÷g = w'w' = (160×1.225)÷(9.8)
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×gw/w' = mg/mg' = g/g'(w×g')÷g = w'w' = (160×1.225)÷(9.8)w'= 20N
w'= weight of child at above earth surface = ?g' = g[1- (2h/R)]g= 9.8[1-(2×3.6×10^3÷6.4×10^3)]g= |-1.225| m/sec^2 = 1.225 m/sec^2w = m×gw/w' = mg/mg' = g/g'(w×g')÷g = w'w' = (160×1.225)÷(9.8)w'= 20NTherefore weight of child at 3.6 × 10^6 m will be 20N
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